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Finding the Third Proportional to 337,539 and 738,127.50

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Solution

The third proportional to 337,539 and 738,127.50 is: 1,614,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,539 : 738,127.50 = 738,127.50 : x
  2. Step 2: Convert to fraction form
    337,539/738,127.50 = 738,127.50/x
  3. Step 3: Cross multiply
    337,539x = 738,127.50 × 738,127.50
  4. Step 4: Simplify right side
    337,539x = 544,832,206,256.25
  5. Step 5: Solve for x
    x = 544,832,206,256.25/337,539
  6. Step 6: Final answer
    x = 1,614,131.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.